(controlled by T2SELECT=, MRANGE=, CATREF=)
Table 2 for multiple-choice items.
Table 2 for polytomous items.
OBSERVED AVERAGE MEASURES FOR KID (scored) (ILLUSTRATED BY AN OBSERVED CATEGORY)
-5 -4 -3 -2 -1 0 1 2 3 4 5
|-----+-----+-----+-----+-----+-----+-----+-----+-----+-----| NUM TAP
| 0 1 | 15 1-3-2-4-1-3
| 0 1 | 16 1-4-2-3-1-4
| 0 1 | 17 1-4-3-1-2-4
| |
| |
| 0 1 | 14 1-4-2-3-4-1
| |
| 0 1 | 12 1-3-2-4-3
| 0 1 | 13 1-4-3-2-4
| |
| 0 1 | 11 1-3-1-2-4
| |
| |
| 0 1 | 10 2-4-3-1
| |
| 0 1 | 8 1-4-2-3
| |
| 0 1 | 6 3-4-1
| 0 1 | 9 1-3-2-4
| 0 1 | 5 2-1-4
| 0 1 | 7 1-4-3-2
| 0 1 | 4 1-3-4
|-----+-----+-----+-----+-----+-----+-----+-----+-----+-----| NUM TAP
-5 -4 -3 -2 -1 0 1 2 3 4 5
1
1 1 2 2 2 3 2 5 4 1 2 KID
T S M S T
0 10 20 30 60 80 90 99 PERCENTILE
Table 2.5 is used for inference:
Past-sample-dependent inference: If you expect the future person to be from a person sample exactly like the past sample (distribution, ability level, misfit, etc.) , then base your decisions on Table 2.7.
Past-sample-distribution-dependent inference: If you expect the future person to be from a person sample similar to the past sample (distribution, ability level, but not misfit) , then base your decisions on Table 2.5.
Past-sample-independent-as-possible: If you have no information about the future person, except that the latent variable will be the same as for the past sample, then base your decisions on Table 2.2.
Does the future repeat the past? Or is the future something entirely new? The truth is usually somewhere between these extremes.
To plot Table 2.5 in Excel:
The numbers for the Y-axis are in IFILE= (MEASURE)
The number for the X-axis are in DISFILE= (AVGE MEAS)
Multiple-choice items
Table 2.5 shows the average measures of persons choosing wrong distractors (illustrated by one of the wrong distractors, "a") and the average measures or persons choosing a correct distractor (illustrated by one of the correct distractors, "d").
TABLE 2.5 OBSERVED AVERAGE MEASURES FOR STUDENTS (scored) (ILLUSTRATED BY AN OBSERVED CATEGORY)
-4 -3 -2 -1 0 1 2 3 4
|------+------+------+------+------+------+------+------| NUM TOPIC
| a d 55 al07 newspaper
| a c | 64 sa01 magazine
Table 2.15 is the same as Table 5, but the options are shown by their scored values, not by their codes in the data.
TABLE 2.15 OBSERVED AVERAGE MEASURES FOR STUDENTS (scored) (BY CATEGORY SCORE)
-4 -3 -2 -1 0 1 2 3 4
|------+------+------+------+------+------+------+------| NUM TOPIC
| 0 1 55 al07 newspaper
| 0 1 | 64 sa01 magazine
Polytomous items
Tables 2.5 & 2.15 plot the observed average person measures for each scored category. It reflects how this sample used these categories. The plotted values cannot fall outside the range of the sample.
The rating-scale categories, such as 0, 1 and 2, are plotted for each item (y-axis) at the average measure of the persons who responded in that category (x-axis).
OBSERVED AVERAGE MEASURES BY SCORED CATEGORY FOR PUPILS
-2 -1 0 1 2 3 4 5
|-------+-------+-------+-------+-------+-------+-------| NUM ACT
| 000102 | 5 FIND BOTTLES AND CANS
| |
| 000102 | 23 WATCH A RAT
| |
| 00 01 02 | 20 WATCH BUGS
| 00 01 02 | 4 WATCH GRASS CHANGE
| 0001 02 | 8 LOOK IN SIDEWALK CRACKS
|-------+-------+-------+-------+-------+-------+-------| NUM ACT
-2 -1 0 1 2 3 4 5
1 2 11 2 114346533233332222 322 2 1 1 1 1 1 11 PUPILS
T S M S T
